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3 years ago

How to convert 1,025 to expanded notation?

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Answer:

1025 = 1000 x 1 + 100 x 0 + 10 x 2 + 5

Step-by-step explanation:

1025 = 1000 x 1 + 100 x 0 + 10 x 2 + 5

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What fraction of a circle is 80°?

Liono4ka [1.6K]

Answer:

2/9

Step-by-step explanation:

Simplify 80°/360°

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3 years ago

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(HELP PLEASE) graph and shade the solution of the system of enequalities below (HELP PLEASE!)

MAVERICK [17]

A b and 3 is the correct answer

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3 years ago

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{94 - 90}{2}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772.

X = 86

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{86 - 90}{2}$

$Z = -2$

$Z = -2$ has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

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3 years ago

Identify if the answers are greater than, less than, or equal to the last fraction. Write > for greater than, < for less t

svet-max [94.6K]

Answer:

express the followibg as a fraction and a rational number 10 to 12

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2 years ago

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1. A student took 60 minutes to answer a combination of 20 multiple-choice and extended-response questions. She took 2 minutes t

Darina [25.2K]

Answer:

1) m=15 and r =5

2) 4 and 2 ml

3) x= 0.5 and y = -1

Step-by-step explanation:

given that m multiple choice questions and r extended response questions.

Also given that a) m+r = total no of questions =20 ... i and

2m+6r = total time taken = 60 ... ii

b) Divide second equation by 2, m+3r = 30 ... iii

m+r = 20 ... i

Subtract to get 2r =10 or r =5

m = 20-5 = 15

Verify: m+r = 15+5 =20

and 2m+6r = 30+30 = 60 minutes.

Hence verified

--------------------------------------

2) Let a litres of 20% solution and b litres of 50% solution be mixed

a) Then total volume = 6 ml = a+b ... i

Resulting solution = 30% of 6 ml = 1.8 = 0.2a+0.5b ... ii

b) Solve i and ii

b = 6-a: substitute in ii.

0.2a + 3-0.5a = 1.8

Or a = 4 ml and b = 2ml

Verify: Total volume = a+b =6ml and

concentration = 0.2(4)+0.5(2) = 1.8 = 30% of 6 ml.

Thus verified

---------------------------------

3) 2x-3y=4 ...i

2x-5y =6... ii

Because x term has the same coefficient in both the equations, elimination is easier.

i-ii gives 2y =-2 or y =-1

Substitute in i, 2x+3 =4 or x = 0.5

So answer is x = 0.5 and y =1

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3 years ago